This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A295923 #18 Dec 19 2017 02:38:16 %S A295923 1,1,1,3,1,2,1,4,3,2,1,4,1,2,2,10,1,4,1,4,2,2,1,7,3,2,4,4,1,5,1,8,2,2, %T A295923 2,13,1,2,2,7,1,5,1,4,4,2,1,12,3,4,2,4,1,7,2,7,2,2,1,11,1,2,4,29,2,5, %U A295923 1,4,2,5,1,16,1,2,4,4,2,5,1,12,10,2,1,11 %N A295923 Number of twice-factorizations of n where the first factorization is constant, i.e., type (P,R,P). %C A295923 a(n) is also the number of ways to choose a perfect divisor d|n and then a sequence of log_d(n) factorizations of d. %e A295923 The a(16) = 10 twice-factorizations are (2*2*2*2), (2*2*4), (2*8), (4*4), (16), (2*2)*(2*2), (2*2)*(4), (4)*(2*2), (4)*(4), (2)*(2)*(2)*(2). %t A295923 postfacs[n_]:=If[n<=1,{{}},Join@@Table[Map[Prepend[#,d]&,Select[postfacs[n/d],Min@@#>=d&]],{d,Rest[Divisors[n]]}]]; %t A295923 a[n_]:=Sum[Length[postfacs[n^(1/g)]]^g,{g,Divisors[GCD@@FactorInteger[n][[All,2]]]}]; %t A295923 Array[a,50] %Y A295923 Cf. A000005, A001055, A052409, A052410, A279787, A281113, A284639, A295920, A295924, A295931, A295935. %K A295923 nonn %O A295923 1,4 %A A295923 _Gus Wiseman_, Nov 30 2017